The solid shown is constructed from a cylinder and two hemispheres with dimensions as shown. Find the volume of this solid to th
e nearest cubic unit.
1 answer:
Answer:
Volume of solid = 10,466.67 unit² (Approx)
Step-by-step explanation:
Given:
Height of cylinder = 20 unit
Radius of hemisphere = 10 unit
Radius of cylinder = 10 unit
Two hemisphere = 1 sphere
Find:
Volume of solid.
Computation:
Volume of solid = Volume of cylinder + Volume of sphere
Volume of solid = πr²h + 4 /3[πr]³
Volume of solid = π[r²h + (4 /3)(r)³]
Volume of solid = 3.14[(10)²(20) + (4 /3)(10)³]
Volume of solid = 3.14[2,000 + 1333.34]
Volume of solid = 10,466.67 unit² (Approx)
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Given is the weight of board game = 4 pounds.
The weight of one snack pack =
The total weight would be less than 25 pounds.
Solving for part A :
Let 'x' represents the number of snack packs.
So the weight of all snack packs would be 0.5x pounds.
Now weight of care pack = weight of board game + weight of all snack packs.
weight of care pack = 4 + 0.5x
But total weight must be less than 25 pounds.
So the inequality would be: 4 + 0.5x < 25
Solving for part B :
Solving the inequality 4 + 0.5x < 25
⇒ 4 + 0.5x - 4 < 25 - 4
⇒ 0.5x < 21
⇒ x < 42
Solving for part C :
Since x < 42 and x is an integer number, so x = 41.
She can include maximum of 41 snack packs in the care package.